Numerical simulation by the explicit-MPS method for agitation torque of Newtonian fluid

Abstract

Numerical simulation was conducted in this study to calculate the agitating torque of the high viscosity Newtonian fluid by the explicit-MPS method using virtual boundary particles for the agitating container and the agitating flapper. At first, a calculation of the resting hydraulic pressure was carried out to confirm the pressure of fluid particles in the vicinity of the flapper. As a result, it was confirmed that the average of the pressure distribution of the fluid particles corresponded with a theoretical value of the resting hydraulic pressure. Considering this result, trial calculation of flapper agitating torque was calculated from the pressure of the fluid particles in the vicinity of the rotated flapper. The flapper agitating torque was calculated from the torque caused by the differential pressure between front and back faces of the flapper and the torque caused by the shear stress of the fluid particle near the flapper edges. From this calculation, stable agitating torques were obtained for each time step at each flapper speed, and consistent with the high viscous Newtonian fluid agitating test results which showed the linear relationship between the number of flapper speed and agitation torque. Furthermore, it was confirmed that the agitation torques were dominated by the torque caused by the pressure between the front and back faces of the flapper.

Keywords

• fluid soil
• fluid property
• agitation tests
• agitation torque
• explicit-mps method
• newtonian fluid